Mirjalili Seyed Mohammad
Appl Opt. 2014 Jun 20;53(18):3945-53. doi: 10.1364/AO.53.003945.
This work proposes a modularized framework for designing the structure of photonic crystal waveguides (PCWs) and reducing human involvement during the design process. The proposed framework consists of three main modules: parameters module, constraints module, and optimizer module. The first module is responsible for defining the structural parameters of a given PCW. The second module defines various limitations in order to achieve desirable optimum designs. The third module is the optimizer, in which a numerical optimization method is employed to perform optimization. As case studies, two new structures called Ellipse PCW (EPCW) and Hypoellipse PCW (HPCW) with different shape of holes in each row are proposed and optimized by the framework. The calculation results show that the proposed framework is able to successfully optimize the structures of the new EPCW and HPCW. In addition, the results demonstrate the applicability of the proposed framework for optimizing different PCWs. The results of the comparative study show that the optimized EPCW and HPCW provide 18% and 9% significant improvements in normalized delay-bandwidth product (NDBP), respectively, compared to the ring-shape-hole PCW, which has the highest NDBP in the literature. Finally, the simulations of pulse propagation confirm the manufacturing feasibility of both optimized structures.
这项工作提出了一种模块化框架,用于设计光子晶体波导(PCW)的结构并减少设计过程中的人工干预。所提出的框架由三个主要模块组成:参数模块、约束模块和优化器模块。第一个模块负责定义给定PCW的结构参数。第二个模块定义各种限制条件,以实现理想的优化设计。第三个模块是优化器,其中采用数值优化方法进行优化。作为案例研究,通过该框架提出并优化了两种新结构,即每行具有不同形状孔的椭圆PCW(EPCW)和次椭圆PCW(HPCW)。计算结果表明,所提出的框架能够成功优化新型EPCW和HPCW的结构。此外,结果证明了所提出框架在优化不同PCW方面的适用性。对比研究结果表明,与文献中具有最高归一化延迟带宽积(NDBP)的环形孔PCW相比,优化后的EPCW和HPCW的NDBP分别显著提高了18%和9%。最后,脉冲传播模拟证实了两种优化结构的制造可行性。